-5(f+7)=3(f-1)

Solution for -5(f+7)=3(f-1) equation:

Simplifying
-5(f + 7) = 3(f + -1)

Reorder the terms:
-5(7 + f) = 3(f + -1)
(7 * -5 + f * -5) = 3(f + -1)
(-35 + -5f) = 3(f + -1)

Reorder the terms:
-35 + -5f = 3(-1 + f)
-35 + -5f = (-1 * 3 + f * 3)
-35 + -5f = (-3 + 3f)

Solving
-35 + -5f = -3 + 3f

Solving for variable 'f'.

Move all terms containing f to the left, all other terms to the right.

Add '-3f' to each side of the equation.
-35 + -5f + -3f = -3 + 3f + -3f

Combine like terms: -5f + -3f = -8f
-35 + -8f = -3 + 3f + -3f

Combine like terms: 3f + -3f = 0
-35 + -8f = -3 + 0
-35 + -8f = -3

Add '35' to each side of the equation.
-35 + 35 + -8f = -3 + 35

Combine like terms: -35 + 35 = 0
0 + -8f = -3 + 35
-8f = -3 + 35

Combine like terms: -3 + 35 = 32
-8f = 32

Divide each side by '-8'.
f = -4

Simplifying
f = -4